Which expression is correctly developed to use the Power Rule of Exponents?(1 point) Responses (74)8 left parenthesis 7 superscript 4 baseline right parenthesis superscript 8 baseline 129 12 superscript 9 baseline (−5)0 left parenthesis negative 5 right parenthesis superscript 0 baseline (78)⋅(710

Answer 1

The correct expression that uses the Power Rule of Exponents is:

(74)8

Answer 2

Which of the following correctly used the Power Rule of Exponents in the expression (109)7 ?(1 point) Responses 1063 10 superscript 63 baseline 907 90 superscript 7 baseline 1016 10 superscript 16 baseline 102

Answer 3

The correct expression that uses the Power Rule of Exponents is:

(109)^7

Answer 4

not an answer choice

Answer 5

Apologies for the confusion. The correct answer is:

(10^9)^7 = 10^(9*7) = 10^63

Answer 6

If the expression 410 was simplified using the Power Rule of Exponents, what is an equivalent expanded expression? (1 point) Responses (42)8 left parenthesis 4 squared right parenthesis superscript 8 baseline (412)2 left parenthesis 4 superscript 12 baseline right parenthesis squared (45)2 left parenthesis 4 superscript 5 baseline right parenthesis squared 4⋅4⋅4⋅4⋅4⋅4⋅4

Answer 7

The correct equivalent expanded expression for 410, simplified using the Power Rule of Exponents, is:

4^10 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4

Answer 8

you sure everything is correct bot?

Answer 9

Apologies for the mistake in my previous response. Let me provide the correct answer.

The equivalent expanded expression for 410, simplified using the Power Rule of Exponents, is:

4^10 = 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 * 4 = 1,048,576

Answer 10

Use the Power Rule of Exponents to create an expression equivalent to (156)2 .(1 point) Responses 1512 15 superscript 12 baseline 154 15 superscript 4 baseline 158 15 superscript 8 baseline 153

Answer 11

The expression equivalent to (156)2, using the Power Rule of Exponents, is:

15^2 = 15 * 15 = 225

Answer 12

answer choice:

15^12

15^4

15^8

15^3

Answer 13

The correct answer choice, using the Power Rule of Exponents, is:

15^2

Answer 14

Use the Power Rule of Exponents to create an expression equivalent to (15^6)^2 .

Answer 15

To find an expression equivalent to (15^6)^2 using the Power Rule of Exponents, we can apply the rule (a^m)^n = a^(m*n).

Therefore, (15^6)^2 simplifies to 15^(6*2), which equals 15^12.

Answer 16

What exponent would make the two expressions equivalent: (3^3)^x=32^4

Answer 17

To make the two expressions equivalent, we need to find the value of the exponent x that satisfies the equation (3^3)^x = 32^4.

Using the rule (a^m)^n = a^(m*n), we can rewrite the left side of the equation as 3^(3*x).

32 can be expressed as 2^5.

Therefore, the equation 3^(3*x) = 32^4 can be rewritten as 3^(3*x) = (2^5)^4.

Simplifying further, we have 3^(3*x) = 2^(5*4).

Since the bases on both sides of the equation are the same (3 and 2), we can set the exponents equal to each other:

3*x = 5*4.

Now we can solve for x:

3*x = 20.

Dividing both sides by 3, we get:

x = 20/3.

Therefore, the exponent x that would make the two expressions equivalent is 20/3.

Answer 18

What exponent would make the two expressions equivalent: (3^3)^x=3^24

Answer 19

To find the exponent that would make the two expressions equivalent, we can set the exponents equal to each other in the equation (3^3)^x = 3^24.

Using the rule (a^m)^n = a^(m*n), we can rewrite the left side of the equation as 3^(3*x).

Thus, we have 3^(3*x) = 3^24.

Since the bases on both sides of the equation are the same (3), we can set the exponents equal to each other:

3*x = 24.

Solving for x:

x = 24/3 = 8.

Therefore, the exponent x that would make the two expressions equivalent is 8.